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Finding the Third Proportional to 173,148.75 and 265,966.88

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Solution

The third proportional to 173,148.75 and 265,966.88 is: 408,541.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,148.75 : 265,966.88 = 265,966.88 : x
  2. Step 2: Convert to fraction form
    173,148.75/265,966.88 = 265,966.88/x
  3. Step 3: Cross multiply
    173,148.75x = 265,966.88 × 265,966.88
  4. Step 4: Simplify right side
    173,148.75x = 70,738,378,597.27
  5. Step 5: Solve for x
    x = 70,738,378,597.27/173,148.75
  6. Step 6: Final answer
    x = 408,541.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.